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Popular >

integral of ln|y|

Solution

\int ln ∣ y ∣ d y

Solution

y ln ∣ y ∣ - y + C

Solution steps

\int ln ∣ y ∣ d y

Apply Integration By Parts

: y ln ∣ y ∣ - \int 1 d y

= y ln ∣ y ∣ - \int 1 d y

\int 1 d y = y

= y ln ∣ y ∣ - y

Add a constant to the solution

= y ln ∣ y ∣ - y + C

Graph

Popular Examples

integral of (x+1)/(2x^2+2x+3)

\int \frac{x + 1}{2 x ^{2} + 2 x + 3} d x

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\int (- 3 csc^{2} (x)) d x

integral of (cos(y))/(sqrt(4+3sin(y)))

\int \frac{cos ( y )}{4 + 3 sin ( y )} d y

integral of (2x+1)/(e^{3x)}

\int \frac{2 x + 1}{e ^{3 x}} d x

Frequently Asked Questions (FAQ)

What is the integral of ln|y| ?
The integral of ln|y| is yln|y|-y+C